345165333723 has 64 divisors (see below), whose sum is σ = 604801612800. Its totient is φ = 190359590400.

The previous prime is 345165333713. The next prime is 345165333727. The reversal of 345165333723 is 327333561543.

345165333723 is a `hidden beast` number, since 3 + 45 + 1 + 6 + 533 + 3 + 72 + 3 = 666.

It is not a de Polignac number, because 345165333723 - 2⁵ = 345165333691 is a prime.

It is a super-2 number, since 2×345165333723² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345165333727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15341040 + ... + 15363522.

It is an arithmetic number, because the mean of its divisors is an integer number (9450025200).

Almost surely, 2^345165333723 is an apocalyptic number.

345165333723 is a deficient number, since it is larger than the sum of its proper divisors (259636279077).

345165333723 is a wasteful number, since it uses less digits than its factorization.

345165333723 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25329 (or 25323 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 45.

The spelling of 345165333723 in words is "three hundred forty-five billion, one hundred sixty-five million, three hundred thirty-three thousand, seven hundred twenty-three".